arXiv 1810.087802018-10gr-qchep-th

高维Eddington激发的Born-Infeld引力中的带电黑洞

Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity

Byon N. Jayawiguna, Handhika S. Ramadhan

备注：: 36 pages, 16 figures, accepted for publication in Nucl. Phys. B
DOI：: 10.1016/j.nuclphysb.2019.114615

摘要：

研究了一般$D$维时空中Eddington启发的Born-Infeld（EiBI）引力理论的静电荷解.我们考虑线性（麦克斯韦）以及非线性电动力学的物质领域。在这项工作中，我们特别考虑的非线性理论是玻恩-因菲尔德电动力学。该解描述了EiBI引力中的高维黑洞。对于线性Maxwell场，我们证明了电场对$D>4$仍然是奇异的。当EiBI耦合到BI电动力学时，这种奇异性被治愈。在${\tildeα}\equiv4κb^2/λ=1$和$2$的极限下得到了EiBI-BI黑洞解.我们还研究了它们的化学性质。结果表明，$κ$对体系产生了电荷屏蔽作用，在$κ$的某一临界值处，相应的Hawking温度经历了从荷电型到Schwarzschild型的突变.热力学稳定性表明EiBI-BI黑洞可以存在于比RN更小的视界。

英文摘要：

We study static (electrically)-charged solutions of Eddington-inspired Born-Infeld (EiBI) theory of gravity in general $D$-dimensional spacetime. We consider both linear (Maxwell) as well as nonlinear electrodynamics for the matter fields. In this particular work, the nonlinear theory we specifically consider is the Born-Infeld electrodynamics. The solutions describe higher-dimensional black holes in EiBI gravity. For the linear Maxwell field, we show that the electric field is still singular for $D>4$. This singularity is cured when EiBI is coupled to the BI electrodynamics. We obtain EiBI-BI black hole solutions in the limit of ${\tildeα}\equiv4κb^2/λ=1$ and $2$. We also investigate their thermodynamical property. It is found that $κ$ imposes a charge screening that makes the corresponding Hawking temperature experiences some sudden jump from charged-type to the Schwarzschild-type at some critical value of $κ$. Thermodynamical stability reveals that the EiBI-BI black holes can exist with smaller horizon than the RN.

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